One thing I'm curious about is whether Hamas rocket fire on Israel has significantly decreased since Israel begun bombarding "military" targets in Gaza.
If not, you'd have to question the effectiveness of this tactic by the IDF. As not only are they causing an unacceptable level of civilian casualties (as stated by numerous official international entities) but they are also breeding a new generation of Hamas fighters. When such a considerable number of innocents are killed in a conflict it just breeds hate and fuels a lust for revenge. The IDF are essentially providing Hamas with a ready-made recruitment strategy. And when a group like Hamas, which for all intents and purposes is a terrorist organisation, is being readily supplicated with members hell-bent on revenge against Israel, it makes reaching any diplomatic agreements for peace almost impossible. As understandably, Israel would find the idea of a two state solution (with blockades removed) inconceivable if the group running the opposing state has sects that would love nothing more than to see them wiped out.
Aside from future issues, one would also have to ask whether trying to bomb out of existence a group like Hamas, who hides within the civilian populace, can actually be achieved without wiping out the whole of Gaza. It's quite clear Hamas have no qualms about firing from houses, hospitals and (potentially) schools, so how on earth do you expect to effectively target an entity like that when their area of operation is essentially the entire Gaza strip. What's worrying is that the possibility of the whole of Gaza being raised to the ground might not be that far outside the realms of reality as it seems the IDF have developed a blatant disregard for Palestinian life judging by the what's happened so far in the conflict (the rocket warnings they provide are laughable when almost half of Gaza is a warzone and civilians essentially have no sufficient shelter against bomb blasts).
In all honesty, I think the only rational reason for the IDF to be continuing this bombardment of Gaza is to create the illusion for Israeli citizens that they are actively doing something about the continual stream of rockets Hamas sends into Israel. Although when you consider the number of civilian casualties actually experienced by Israel you have to wonder how serious of a threat Hamas rockets truly are to the population. Israel's security measures against such attacks are highly effective (Iron dome, sirens, bomb shelters etc) therefore when all actualities are considered, the IDF's bombardment of Gaza is almost certainly counter-productive to achieving their aims of peace and safety for Israeli citizens.